It is well known that time delays may cause oscillations in dynamical systems [1]}, [2]}, [3]}, [4]}.
One usually expects that interior equilibria of evolving populations, describing coexisting strategies or behaviors, are asymptotically stable
for small time delays and above a critical time delay, where the Hopf bifurcation appears, they become unstable,
evolutionary dynamics exhibits oscillations and cycles. Here we report a novel behavior - continuous dependence of equilibria on time delays.
